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immersion i : X ↪ Y {\displaystyle i:X\hookrightarrow Y} of schemes is a regular embedding of codimension r if each point x in X has an open affine neighborhood
Regular_embedding
Scheme in algebraic geometry
R with respect to I. If Y is the product X × X and the embedding i is the diagonal embedding, then the normal bundle to X in Y is the tangent bundle
Normal cone (algebraic geometry)
Normal_cone_(algebraic_geometry)
Embedding a graph in 3D space with no cycles interlinked
graph theory, a mathematical discipline, a linkless embedding of an undirected graph is an embedding of the graph into three-dimensional Euclidean space
Linkless_embedding
Subset of a manifold that is a manifold itself; an injective immersion into a manifold
theorem. An embedded submanifold (also called a regular submanifold) is an immersed submanifold for which the inclusion map is a topological embedding. That
Submanifold
Embedding a graph in a topological space, often Euclidean
embedding, cellular embedding or map is an embedding in which every face is homeomorphic to an open disk. A closed 2-cell embedding is an embedding in
Graph_embedding
Embedded operating system by Microsoft
Enterprise. Windows Embedded Server FES products are binary identical to that of regular Windows Server versions but licensed for embedded use, similar to
Windows_IoT
Topics referred to by the same term
polynomial function of algebraic varieties a regular map (graph theory), a symmetric 2-cell embedding of a graph into a closed surface This disambiguation
Regular_map
Differentiable function whose derivative is everywhere injective
related concept is that of an embedding. A smooth embedding is an injective immersion f : M → N that is also a topological embedding, so that M is diffeomorphic
Immersion_(mathematics)
pullback along the diagonal embedding δ : X → X × X {\displaystyle \delta :X\to X\times X} . Quasi-separated morphism Regular embedding Diagonal morphism Hartshorne
Diagonal morphism (algebraic geometry)
Diagonal_morphism_(algebraic_geometry)
Type of cardinal number in mathematics
<\theta } , say that an elementary embedding j : M → H ( θ ) {\displaystyle j:M\to H(\theta )} a small embedding if M {\displaystyle M} is transitive
Regular_cardinal
Long exact sequence
no longer corresponds to integration. Let i: X → Y be a (closed) regular embedding of codimension d, Y' → Y a morphism and i': X' = X ×Y Y' → Y' the
Gysin_homomorphism
Aspect of topological graph theory
surface embedding. Unlike the usual dual graph (which is an embedding of a generally different graph in the same surface) the Petrie dual is an embedding of
Petrie_dual
Problem in algebraic geometry
intersection). A generalization to a situation where the assumption on regular embedding is weakened is due to Kleiman (1981). The following definition is
Residual_intersection
presentation is the open immersion of an open closed subscheme. Segre embedding Regular embedding Mumford, The Red Book of Varieties and Schemes, Section II.5
Closed_immersion
Theorem in group theory
The universal embedding theorem, or Krasner–Kaloujnine universal embedding theorem, is a theorem from the mathematical discipline of group theory first
Universal_embedding_theorem
multiplication being the tensor product. Plücker embedding The Plücker embedding is the closed embedding of the Grassmannian variety into a projective space
Glossary of algebraic geometry
Glossary_of_algebraic_geometry
mathematical embedding from a space with many dimensions per geographic object to a continuous vector space with a much lower dimension. Such embedding methods
Spatial_embedding
Embedding of the circle in three dimensional Euclidean space
is provided by the graphs with linkless embeddings and knotless embeddings. A linkless embedding is an embedding of the graph with the property that any
Knot_(mathematics)
Graph that can be embedded in the plane
planar graph. A 1-outerplanar embedding of a graph is the same as an outerplanar embedding. For k > 1 a planar embedding is k-outerplanar if removing the
Planar_graph
Skew polygon derived from a polytope
higher-dimensional regular polytopes. Petrie polygons can be defined more generally for any embedded graph. They form the faces of another embedding of the same
Petrie_polygon
Solid with four equal triangular faces
and each edge is a diagonal of one of the cube's faces. For one such embedding, the Cartesian coordinates of the vertices are ( 1 , 1 , 1 ) , ( 1 , −
Regular_tetrahedron
embedding the ring in a regular local ring. If R is a Noetherian local ring with maximal ideal m, then the dimension of m/m2 is called the embedding dimension
Complete_intersection_ring
Rational surface in 5-dimensional projective space
five-dimensional projective space, and is realized by the Veronese embedding, the embedding of the projective plane given by the complete linear system of
Veronese_surface
Theorem about inclusions between Sobolev spaces
including those of Sobolev spaces. These are used to prove the Sobolev embedding theorem, giving inclusions between certain Sobolev spaces, and the Rellich–Kondrachov
Sobolev_inequality
Abstract regular polyhedron with 6 pentagonal faces
of view of graph theory this is an embedding of the Petersen graph on a real projective plane. With this embedding, the dual graph is K6 (the complete
Hemi-dodecahedron
24-vertex symmetric bipartite cubic graph
The dual graph of this embedding is a symmetric 6-regular graph with 12 vertices and 36 edges. The other symmetric embedding of the Nauru graph has six
Nauru_graph
Undirected graph named after S. S. Shrikhande
toroidal graph. The embedding forms a regular map in the torus, with 32 triangular faces. The skeleton of the dual of this map (as embedded in the torus) is
Shrikhande_graph
Typeface family
[Bold and Regular] embedded font in Google Docs Droid Sans Tamil [Bold and Regular] available from Google Fonts API Droid Sans Thai [Regular] available
Droid_(typeface)
Polyhedron with non-planar faces
polygons. p. 110 Deza, Michael; Shtogrin, Mikhael (2000). "Embedding the graphs of regular tilings and star-honeycombs into the graphs of hypercubes and
Regular_skew_polyhedron
Proof that every structure with certain properties is isomorphic to another structure
set of regular measures on X. The Whitney embedding theorems embed any abstract manifold in some Euclidean space. The Nash embedding theorem embeds an abstract
Representation_theorem
2003–2011 conflict in Iraq
76–85, February 2010. Sanchez, Wiser in Battle, p.185. "Reintegration of Regular [IRAQ] Army", DDR Tasks – The Army, 3 July 2003 10:03 AM "Jobless Iraqi
Iraq_War
Concept from algebraic geometry
{\displaystyle f|_{U}:U{\overset {i}{\to }}Z{\overset {\pi }{\to }}Y} , a regular embedding of codimension k {\displaystyle k} followed by a smooth morphism of
Dualizing_sheaf
R^{i}f'_{*}(g'^{*}{\mathcal {F}})} is an isomorphism. smooth algebra regular embedding J. S. Milne (2012). "Lectures on Étale Cohomology" J. S. Milne. Étale
Smooth_morphism
On graph drawing with integer edge lengths
dense in the plane. The distances in such an embedding can be made into integers by scaling the embedding by an appropriate factor. Based on this construction
Harborth's_conjecture
in particular, to define a virtual fundamental class. Consider a regular embedding I : Y → W {\displaystyle I\colon Y\to W} fitting into a cartesian
Perfect_obstruction_theory
Cycles in a graph that cover each edge twice
nowhere-zero 5-flow. A stronger type of embedding than a circular embedding is a polyhedral embedding, an embedding of a graph on a surface in such a way
Cycle_double_cover
This article lists the regular polytopes in Euclidean, spherical and hyperbolic spaces. This table shows a summary of regular polytope counts by rank.
List_of_regular_polytopes
Symmetric tessellation of a closed surface
hemicube is a regular map of type {4,3} in the projective plane. The hemi-dodecahedron is a regular map produced by pentagonal embedding of the Petersen
Regular_map_(graph_theory)
Form of government
European Union as the "most successful [organization] in the international embedding of democracies." International integration ultimately serves to protect
Embedded_democracy
Graph in which every two vertices are adjacent
of the forbidden minors for linkless embedding. In other words, and as Conway and Gordon proved, every embedding of K6 into three-dimensional space is
Complete_graph
Theorem in geometry
local complete intersection morphism; i.e., it factors as a closed regular embedding X ↪ P {\displaystyle X\hookrightarrow P} into a smooth scheme P followed
Riemann–Roch-type_theorem
Sending control flow information in the same channel as data
many examples: Embedding a magic number at the very start of files, to signal the format or language of the following data. Embedding a NULL character
In-band_signaling
Area of discrete mathematics
embedding (or imbedding) of a graph in surface and linkless embedding, graph minors, crossing number, map coloring, and voltage graph. The embedding of
Graph_theory
Graph often embedded in the Klein bottle
six colors are sometimes necessary in this case. This embedding is the Petrie dual of its embedding in the projective plane shown below. It is Hamiltonian
Franklin_graph
Symmetric bipartite cubic graph with 16 vertices and 24 edges
The genus 1 embedding, which is not a regular map, is seen in the diagram above. Genus 2 embedding Genus 3 embedding The automorphism group of the Möbius–Kantor
Möbius–Kantor_graph
same regular homotopy class if there exists a regular homotopy between them. Regular homotopy for immersions is similar to isotopy of embeddings: they
Regular_homotopy
Software library for interpreting regular expressions
Perl Compatible Regular Expressions (PCRE) is a library written in C, which implements a regular expression engine, inspired by the capabilities of the
Perl Compatible Regular Expressions
Perl_Compatible_Regular_Expressions
Graph property
In the mathematical field of graph theory, a distance-regular graph is a regular graph such that for any two vertices v and w, the number of vertices at
Distance-regular_graph
Concept in mathematics
Whitney embedding theorem, every manifold admits a normal bundle, given such an embedding. There is in general no natural choice of embedding, but for
Normal_bundle
Abstract regular polyhedron with 10 triangular faces
theory this is an embedding of K 6 {\displaystyle K_{6}} (the complete graph with 6 vertices) on a real projective plane. With this embedding, the dual graph
Hemi-icosahedron
Solid with eight equal triangular faces
more generally, a regular polyhedron. If the faces are isosceles triangles, the regular octahedron becomes a square bipyramid. The regular octahedron is an
Regular_octahedron
Filipino Catholic cardinal (born 1957)
Sunday after my ordination as a priest, I said nine Masses, and that is regular in the Philippines." Discussing priestly celibacy, Cardinal Angelo Scola
Luis_Antonio_Tagle
Undirected unit-distance graph requiring four colors
named after Solomon W. Golomb, who constructed it (with a non-planar embedding) as a unit distance graph that requires four colors in any graph coloring
Golomb_graph
Abstract regular polyhedron with 3 square faces
cannot be embedded into the 3-dimensional Euclidean space. From the point of view of graph theory the skeleton is a tetrahedral graph, an embedding of K4
Hemicube_(geometry)
Mathematics of smooth surfaces
extensively studied from various perspectives: extrinsically, relating to their embedding in Euclidean space and intrinsically, reflecting their properties determined
Differential geometry of surfaces
Differential_geometry_of_surfaces
Polytope with highest degree of symmetry
In mathematics, a regular polytope is a polytope whose symmetry group acts transitively on its flags, thus giving it the highest degree of symmetry. In
Regular_polytope
Type of regular Hausdorff space
completely regular spaces are kinds of topological spaces. These conditions are examples of separation axioms. A Tychonoff space is any completely regular space
Tychonoff_space
Topological operation of turning a sphere inside-out without creasing
{\displaystyle f\colon S^{2}\to \mathbb {R} ^{3}} be the standard embedding; then there is a regular homotopy of immersions f t : S 2 → R 3 {\displaystyle f_{t}\colon
Sphere_eversion
Theorem in topology
it is easy to modify the map from the disk so that it is an embedding. Step 3. The embedding of the disk can now be pushed down the tower of double covers
Dehn's_lemma
American actor and producer (born 1937)
by Katie Couric. CBS gave the need for consistency in introductions for regular news broadcasts and special reports as the basis for the change. Deborah
Morgan_Freeman
1876 battle of the Great Sioux War
book}}: ISBN / Date incompatibility (help) Utley, Robert M. (1973) Frontier Regulars: The United States Army and the Indian 1866–1890, pp. 64 and 69 note 11
Battle_of_the_Little_Bighorn
broadcasting for 90 minutes three times a week. It was home to the first regular television service in the world, named Fernsehsender Paul Nipkow. In 2000
Television_in_Germany
the distribution and acquisition of information to be displayed in the regular interface — possibly a web service, and possibly using XML as the data
Embedded_HTTP_server
Non-orientable surface with one edge
equilateral-triangle version of the Möbius strip. This flat triangular embedding can lift to a smooth embedding in three dimensions, in which the strip lies flat in three
Möbius_strip
American politician and football coach (born 1954)
arch-rival Mississippi State in the annual Egg Bowl game. After the 1998 regular season ended, Tuberville said, "They'll have to carry me out of here in
Tommy_Tuberville
Head of the Catholic Church from 2013 to 2025
Bergoglio sold the archdiocese's bank shares and moved its accounts to regular international banks. This ended the church's high spending habits, which
Pope_Francis
elementary embedding backwards, we get that there is an ultrafilter in Vκ − Vα. So there are arbitrarily large measurable cardinals below κ which is regular, and
Strong_cardinal
American actor and filmmaker (1931–2026)
July 30 to August 3, 1957, directed by Ulu Grosbard, who was by then a regular director at the Gateway Theatre. Miller himself attended one of Duvall's
Robert_Duvall
Chinese basketball player and executive (born 1980)
Yao Ming (Chinese: 姚明; born September 12, 1980) is a Chinese basketball executive and former professional player. He played for the Shanghai Sharks of
Yao_Ming
Geometric model of the planar projection of the physical universe
relationship with out-of-plane points requires special consideration for their embedding in the ambient space R 3 {\displaystyle \mathbb {R} ^{3}} . In two dimensions
Euclidean_plane
American college football season
highest level of competition, the Football Bowl Subdivision (FBS). The regular season began on August 29 and is scheduled to end on December 12. The postseason
2026 NCAA Division I FBS football season
2026_NCAA_Division_I_FBS_football_season
Graph whose embedding in a Euclidean space forms a regular tiling
graph is a graph whose drawing, embedded in some Euclidean space R n {\displaystyle \mathbb {R} ^{n}} , forms a regular tiling. This implies that the
Lattice_graph
Hypervisor designed for embedded systems
An embedded hypervisor is a hypervisor that supports the requirements of embedded systems. The requirements for an embedded hypervisor are distinct from
Embedded_hypervisor
Ukrainian boxer (born 1976)
network ARD. At the end of 2012, the WBA ordered Klitschko to fight WBA (Regular) champion Alexander Povetkin of Russia by 24 February 2013, but the two
Wladimir_Klitschko
Hierarchy of classes of formal grammars
natural language is not regular. For instance, English contains center embedding constructions, which means that it cannot be regular. To be more exact, the
Chomsky_hierarchy
American singer and actor (1935–1977)
Talent Scouts on the CBS television network. By early 1955, Presley's regular Hayride appearances, constant touring, and well-received record releases
Elvis_Presley
American businessman (born 1941)
full sell-out in franchise history. Every Patriots home game–preseason, regular season, and playoffs–has been sold out since. In 2023, the Patriots were
Robert_Kraft
American multinational semiconductor company
the GPU. ATI began offering embedded GPUs with the E2400 in 2008. Since then, AMD has released regular updates to its embedded GPU lineup in 2009, 2011,
AMD
remarkable if for all regular cardinals θ > κ, there exist π, M, λ, σ, N and ρ such that π : M → Hθ is an elementary embedding M is countable and transitive
Remarkable_cardinal
Markup language for documents
notable for its acknowledgment of the NCSA Mosaic browser's custom tag for embedding in-line images, reflecting the IETF's philosophy of basing standards on
HTML
Web browser developed by Google
the browser. The browser, when opened in this way, contains none of the regular interface except for the title bar, so as not to "interrupt anything the
Google_Chrome
Home video game console by Nintendo
sedentary computer games, but Wii playing was not an adequate replacement for regular exercise. Some Wii players have experienced musculoskeletal injuries known
Wii
Dutch colony in Indonesia (1800–1949)
"plechtigheden in Djakarta bij de opheffing van het KNIL Polygoon 1950 3 min. 20;embed=1 Video footage showing the official ceremony disbanding the KNIL". Archived
Dutch_East_Indies
American politician and diplomat (born 1943)
for Lieutenant Governor, he did not receive the endorsement of the party regulars at the state Democratic convention. Congressman James Shannon, a favorite
John_Kerry
Philosophical study of morality
prescriptivism, which states that moral statements are commands that, unlike regular judgments, are neither true nor false. J. L. Mackie (1917–1981) suggested
Ethics
American comedian and television host (1925–2005)
panelist on the original To Tell the Truth beginning in 1960, becoming a regular panelist from 1961 to 1962. After the primetime Johnny Carson Show failed
Johnny_Carson
method first requires the embedding of a time series in phase space, which, according to stochastic extensions to Taken's embedding theorems, can be carried
Recurrence period density entropy
Recurrence_period_density_entropy
American media personality (1923–2023)
also saw him become a popular guest on other shows, including as a semi-regular panelist on the game shows Tattletales (1975–1976, with wife Dorothy Jo)
Bob_Barker
British actor (born 1937)
(2002), and Stage Beauty (2004). Fox consolidated his reputation with regular appearances on stage in London's West End. He was seen in Four Quartets
Edward_Fox_(actor)
American actor (born 1933)
Favorite Martian in the 1963 episode "Mrs. Jekyll and Hyde" (Walston was a regular cast member thirty years later in Skerritt's show Picket Fences). He also
Tom_Skerritt
Russian tennis player and model (born 1981)
2011, it was announced that Kournikova would join The Biggest Loser as a regular celebrity trainer in season 12. She did not return for season 13. A variation
Anna_Kournikova
American football and soccer player (born 1995)
league-leading 57 kickoffs and six touchbacks. The Stallions finished the regular season with an 8–2 record, making them the champions of the South Division
Brandon_Aubrey
3D shape made of polyhedra sharing a common center
Miscellaneous (4,5,6,9,17 are the 5 regular compounds) 20-25: Prism symmetry embedded in prism symmetry, 26-45: Prism symmetry embedded in octahedral or icosahedral
Polytope_compound
ε0 is the embedding dimension of R (the dimension of its tangent space). The first deviation ε1 vanishes exactly when the ring R is a regular local ring
Deviation_of_a_local_ring
Large permanent human settlement
communicable diseases such as typhoid and cholera. Factories and slums emerged as regular features of the urban landscape. In the second half of the 20th century
City
American actor (born 1951)
Emergency Services Detail, but was also short-lived. In 1980, Harmon gained a regular role in the prime time soap opera Flamingo Road, in which he played Fielding
Mark_Harmon
Retired British Army officer
regular commission on 1 October 1981. He was promoted to acting captain on 8 October 1984. On 21 October 1985, he transferred from a special regular commission
James_Hewitt
Mongol general under Genghis Khan and Ögedei Khan
normal: in addition to anywhere from many hundreds to many thousands of regular soldiers, Batu lost 30 of his 4,000 strong ba'aaturs (heavily armored bodyguards)
Subutai
Confederate States Army general (1824–1863)
Chapultepec, and Mexico City, eventually earning two brevet promotions, and the regular army rank of first lieutenant. It was in Mexico that Jackson first met
Stonewall_Jackson
British mathematician
standing problems. Through the use of edge colorings in the context of embedding graphs, he was able to settle the Evan's conjecture and the Lindner conjecture
Anthony_Hilton
travel, tourism, insurance
REGULAR EMBEDDING
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REGULAR EMBEDDING
REGULAR EMBEDDING
REGULAR EMBEDDING
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